{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "71b3f711-f2b7-471c-a95f-c8aef5098c06",
   "metadata": {},
   "source": [
    "Chapter 8\n",
    "# 平面随机行走\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ebdbcd25-7381-42eb-bbad-3395a03f841d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import matplotlib.collections as mcoll"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2f125a23-4e83-4ec2-a154-66e01c38b945",
   "metadata": {},
   "outputs": [],
   "source": [
    "def colorline(\n",
    "        x, y, z=None, cmap='copper', norm=plt.Normalize(0.0, 1.0),\n",
    "        linewidth=3, alpha=1.0):\n",
    "\n",
    "    # Default colors equally spaced on [0,1]:\n",
    "    if z is None:\n",
    "        z = np.linspace(0.0, 1.0, len(x))\n",
    "\n",
    "    # Special case if a single number:\n",
    "    # to check for numerical input -- this is a hack\n",
    "    if not hasattr(z, \"__iter__\"):\n",
    "        z = np.array([z])\n",
    "\n",
    "    z = np.asarray(z)\n",
    "\n",
    "    segments = make_segments(x, y)\n",
    "    lc = mcoll.LineCollection(segments, array=z, cmap=cmap, norm=norm,\n",
    "                              linewidth=linewidth, alpha=alpha)\n",
    "\n",
    "    ax = plt.gca()\n",
    "    ax.add_collection(lc)\n",
    "\n",
    "    return lc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "61e9177b-526d-43b6-99c8-14d9d4466bdf",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_segments(x, y):\n",
    "\n",
    "    points = np.array([x, y]).T.reshape(-1, 1, 2)\n",
    "    segments = np.concatenate([points[:-1], points[1:]], axis=1)\n",
    "    return segments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "aa9ef75e-7291-411f-b02d-08eed730c712",
   "metadata": {},
   "outputs": [],
   "source": [
    "N_steps = 1000; \n",
    "# number of steps\n",
    "\n",
    "delta_x = np.random.normal(loc=0.0, scale=1.0, size=(N_steps,1))\n",
    "delta_y = np.random.normal(loc=0.0, scale=1.0, size=(N_steps,1))\n",
    " \n",
    "disp_x = np.cumsum(delta_x, axis = 0); \n",
    "disp_y = np.cumsum(delta_y, axis = 0); \n",
    "\n",
    "disp_x = np.vstack(([0],disp_x))\n",
    "disp_y = np.vstack(([0],disp_y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cb62df7c-2c99-439a-afc6-bb9626439747",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-10.213069494101758,\n",
       " 15.239355643937714,\n",
       " -33.44735509490563,\n",
       " 14.400648926710474)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "# plt.plot(disp_x,disp_y); \n",
    "lc = colorline(disp_x, disp_y, cmap='rainbow_r')\n",
    "plt.plot(0,0,'kx', markersize = 20)\n",
    "plt.ylabel('$x$'); \n",
    "plt.xlabel('$y$'); \n",
    "plt.axis('equal')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
